Geometric conditions for multiple sampling and interpolation in the Fock space

We study multiple sampling, interpolation and uniqueness for the classical Fock spaces in the case of unbounded multiplicities. We show that there are no sequences which are simultaneously sampling and interpolating when the multiplicities tend to infinity. This answers partially a question posed by...

Descripción completa

Detalles Bibliográficos
Autores: Borichev, Alexander A., Hartmann, Andreas, Kellay, Karim, Massaneda Clares, Francesc Xavier
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2017
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/192550
Acceso en línea:https://hdl.handle.net/2445/192550
Access Level:acceso abierto
Palabra clave:Funcions de variables complexes
Problemes de moments (Matemàtica)
Interpolació (Matemàtica)
Espais de Hilbert
Operadors lineals
Functions of complex variables
Moment problems (Mathematics)
Interpolation
Hilbert space
Linear operators
id ES_de4d2ee4e5db20d577a57e82b044e3b2
oai_identifier_str oai:diposit.ub.edu:2445/192550
network_acronym_str ES
network_name_str España
repository_id_str
spelling Geometric conditions for multiple sampling and interpolation in the Fock spaceBorichev, Alexander A.Hartmann, AndreasKellay, KarimMassaneda Clares, Francesc XavierFuncions de variables complexesProblemes de moments (Matemàtica)Interpolació (Matemàtica)Espais de HilbertOperadors linealsFunctions of complex variablesMoment problems (Mathematics)InterpolationHilbert spaceLinear operatorsWe study multiple sampling, interpolation and uniqueness for the classical Fock spaces in the case of unbounded multiplicities. We show that there are no sequences which are simultaneously sampling and interpolating when the multiplicities tend to infinity. This answers partially a question posed by Brekke and Seip.Elsevier B.V.2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/192550Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.1016/j.aim.2016.09.019Advances in Mathematics, 2017, vol. 304, p. 1262-1295https://doi.org/10.1016/j.aim.2016.09.019cc-by-nc-nd (c) Elsevier B.V., 2017https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1925502026-05-27T06:46:51Z
dc.title.none.fl_str_mv Geometric conditions for multiple sampling and interpolation in the Fock space
title Geometric conditions for multiple sampling and interpolation in the Fock space
spellingShingle Geometric conditions for multiple sampling and interpolation in the Fock space
Borichev, Alexander A.
Funcions de variables complexes
Problemes de moments (Matemàtica)
Interpolació (Matemàtica)
Espais de Hilbert
Operadors lineals
Functions of complex variables
Moment problems (Mathematics)
Interpolation
Hilbert space
Linear operators
title_short Geometric conditions for multiple sampling and interpolation in the Fock space
title_full Geometric conditions for multiple sampling and interpolation in the Fock space
title_fullStr Geometric conditions for multiple sampling and interpolation in the Fock space
title_full_unstemmed Geometric conditions for multiple sampling and interpolation in the Fock space
title_sort Geometric conditions for multiple sampling and interpolation in the Fock space
dc.creator.none.fl_str_mv Borichev, Alexander A.
Hartmann, Andreas
Kellay, Karim
Massaneda Clares, Francesc Xavier
author Borichev, Alexander A.
author_facet Borichev, Alexander A.
Hartmann, Andreas
Kellay, Karim
Massaneda Clares, Francesc Xavier
author_role author
author2 Hartmann, Andreas
Kellay, Karim
Massaneda Clares, Francesc Xavier
author2_role author
author
author
dc.subject.none.fl_str_mv Funcions de variables complexes
Problemes de moments (Matemàtica)
Interpolació (Matemàtica)
Espais de Hilbert
Operadors lineals
Functions of complex variables
Moment problems (Mathematics)
Interpolation
Hilbert space
Linear operators
topic Funcions de variables complexes
Problemes de moments (Matemàtica)
Interpolació (Matemàtica)
Espais de Hilbert
Operadors lineals
Functions of complex variables
Moment problems (Mathematics)
Interpolation
Hilbert space
Linear operators
description We study multiple sampling, interpolation and uniqueness for the classical Fock spaces in the case of unbounded multiplicities. We show that there are no sequences which are simultaneously sampling and interpolating when the multiplicities tend to infinity. This answers partially a question posed by Brekke and Seip.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/192550
url https://hdl.handle.net/2445/192550
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1016/j.aim.2016.09.019
Advances in Mathematics, 2017, vol. 304, p. 1262-1295
https://doi.org/10.1016/j.aim.2016.09.019
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Elsevier B.V., 2017
https://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Elsevier B.V., 2017
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869421961746055168
score 15.300724

Similares en LA Referencia